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Finding the Fourth Proportional to 289.40, 434.09 and 116.06

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Solution

The fourth proportional to 289.40, 434.09 and 116.06 is: 174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.40 : 434.09 = 116.06 : x
  2. Step 2: Convert to fraction form
    289.40/434.09 = 116.06/x
  3. Step 3: Cross multiply
    289.40x = 434.09 × 116.06
  4. Step 4: Simplify right side
    289.40x = 50,380.49
  5. Step 5: Solve for x
    x = 50,380.49/289.40
  6. Step 6: Final answer
    x = 174.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.